Properties of Pascal’s Triangle

Properties of Pascal’s Triangle

Pascal’s triangle is a type of number pattern. The numbers are arranged in a way that reflects a triangle. First, the 1 is placed at the top. Then, the rest of the numbers are arranged in a triangular pattern. The numbers we get in each step are the sum of the two...
Properties of Pascal’s Triangle

Applications of Pascal’s Triangle

Pascal’s triangle has many applications in mathematics and statistics. We can use Pascal’s triangle to find the binomial expansion. Also, Pascal’s triangle is used in probabilistic applications and in the calculation of combinations. Recall that Pascal’s triangle is a...
Complex Numbers in Polar Form – Formulas and Examples

Complex Numbers in Polar Form – Formulas and Examples

By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex numbers that can be convenient when solving mathematical operations with these numbers. Here, we will learn to write complex numbers in polar...
Conic Sections – Formulas and Diagrams

Conic Sections – Formulas and Diagrams

Conic sections are obtained by the intersection of the surface of a cone with a plane. We can have four types of conic sections that are defined based on the angle formed between the plane and the base of the cone. The four types of conic sections are the circle,...
Equilateral, Isosceles and Scalene Triangles

Equilateral, Isosceles and Scalene Triangles

A triangle is a three-sided polygon that has three vertices and three interior angles. The sum of the interior angles in a triangle is always equal to 180 degrees. If we take into account the length of their sides, we can distinguish three types of triangles:...